Repeated decimal, part 3
Number Theory
Level
2
\[0.\overline{0009182736455463728191}=\frac{1}{N}\]
Given that \(N\) is a 4-digit integer, find \(N\).
Note: The repeated digits are from 00, 09, 18, ..., 81,(those multiple 9), followed by 91, the period is 22.
by
Chan Lye Lee